{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from sklearn import metrics\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "\n",
    "np.random.seed(4060)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 产生均衡的逻辑回归数据\n",
    "n = 2000\n",
    "cov = [[1, 0], [0, 1]]\n",
    "X = np.random.multivariate_normal([0, 0], cov, n)\n",
    "beta = np.array([1, -1]).reshape(2, 1)\n",
    "error = np.random.logistic(size=n).reshape(-1, 1)\n",
    "Y = (np.dot(X, beta) + error > 0) + 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def unbalanced_data(X, Y, zero_times):\n",
    "    '''\n",
    "    通过将类别0的数据重复zero_times次，将均衡数据集变为非均衡数据集\n",
    "    '''\n",
    "    X0 = np.repeat(X[np.where(Y == 0)[0]], zero_times, axis=0)\n",
    "    Y0 = np.repeat(Y[np.where(Y == 0)[0]], zero_times, axis=0)\n",
    "    X1 = X[np.where(Y > 0)[0]]\n",
    "    Y1 = Y[np.where(Y > 0)[0]]\n",
    "    _X = np.append(X0, X1, axis=0)\n",
    "    _Y = np.append(Y0, Y1, axis=0)\n",
    "    return _X, _Y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 产生非均衡的数据\n",
    "x = []\n",
    "y = []\n",
    "for zero_times in np.arange(1, 100):\n",
    "    _X, _Y = unbalanced_data(X, Y, zero_times)\n",
    "    x.append(_X)\n",
    "    y.append(_Y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def evaluate_model(Y, pred):\n",
    "    '''\n",
    "    评估模型效果，其中包括ACC，AUC以及预测结果中类别1的个数\n",
    "    '''\n",
    "    pred_positive = []\n",
    "    true_positive = []\n",
    "    aucs = []\n",
    "    accuracies = []\n",
    "    ratios = []\n",
    "    for i in range(len(Y)):\n",
    "        ratios.append(len(Y[i][Y[i] > 0]) / float(len(Y[i])))\n",
    "        pred_positive.append(len(pred[i][pred[i] > 0]))\n",
    "        true_positive.append(len(Y[i][Y[i] > 0]))\n",
    "        fpr, tpr, _ = metrics.roc_curve(Y[i], pred[i])\n",
    "        accuracies.append(metrics.accuracy_score(Y[i], pred[i]))\n",
    "        aucs.append(metrics.auc(fpr, tpr))\n",
    "    return visualize(ratios, pred_positive, true_positive, aucs, accuracies)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize(ratios, pred_positive, true_positive, aucs, accuracies):\n",
    "    '''\n",
    "    将模型结果可视化\n",
    "    '''\n",
    "    # 为在Matplotlib中显示中文，设置特殊字体\n",
    "    plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "    # 正确显示负号\n",
    "    plt.rcParams['axes.unicode_minus'] = False\n",
    "    plt.rcParams.update({'font.size': 13})\n",
    "    # 创建一个图形框\n",
    "    fig = plt.figure(figsize=(12, 6), dpi=100)\n",
    "    # 在图形框里画两幅图\n",
    "    ax = fig.add_subplot(1, 2, 1)\n",
    "    ax.plot(ratios, pred_positive, label='%s' % '预测结果里类别1的个数')\n",
    "    ax.plot(ratios, true_positive, 'k--', label='%s' % '原始数据里类别1的个数')\n",
    "    ax.set_xlim([0, 0.5])\n",
    "    ax.invert_xaxis()\n",
    "    legend = plt.legend(shadow=True, loc='best')\n",
    "    ax1 = fig.add_subplot(1, 2, 2)\n",
    "    ax1.plot(ratios, aucs, 'r', label='%s' % '曲线下面积（AUC）')\n",
    "    ax1.plot(ratios, accuracies, 'k-.', label='%s' % '准确度（ACC）')\n",
    "    ax1.set_xlim([0, 0.5])\n",
    "    ax1.set_ylim([0.5, 1])\n",
    "    ax1.invert_xaxis()\n",
    "    legend = plt.legend(shadow=True, loc='best')\n",
    "    return fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred_y = []\n",
    "\n",
    "for _x, _y in zip(x, y):\n",
    "    # 为了消除惩罚项的干扰，将惩罚系数设为很大\n",
    "    model = LogisticRegression(C=1e4)\n",
    "    model.fit(_x, _y.ravel())\n",
    "    pred_y.append(model.predict(_x))\n",
    "\n",
    "re = evaluate_model(y, pred_y)\n",
    "re.savefig('imbalanced_data.png', dpi=200)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "balanced_pred_y = []\n",
    "\n",
    "for _x, _y in zip(x, y):\n",
    "    positive_weight = len(_y[_y > 0]) / float(len(_y))\n",
    "    class_weight = {1: 1. / positive_weight, 0: 1. / (1 - positive_weight)}\n",
    "    # 为了消除惩罚项的干扰，将惩罚系数设为很大\n",
    "    model = LogisticRegression(class_weight=class_weight, C=1e4)\n",
    "    model.fit(_x, _y.ravel())\n",
    "    balanced_pred_y.append(model.predict(_x))\n",
    "\n",
    "re = evaluate_model(y, balanced_pred_y)\n",
    "re.savefig('imbalanced_data_solution.png', dpi=200)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
